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Variational problems with free interfaces

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160420503openalex-snapshot
Optimal approximations by piecewise smooth functions and associated variational problems
inferredcites →https://doi.org/10.1007/978-1-4684-9486-0openalex-snapshot
Minimal Surfaces and Functions of Bounded Variation
inferredcites →https://doi.org/10.1007/978-3-642-61798-0openalex-snapshot
Elliptic Partial Differential Equations of Second Order
inferredcites →https://doi.org/10.1007/978-3-642-62010-2openalex-snapshot
Geometric Measure Theory
inferredcites →https://doi.org/10.1007/978-3-642-96379-7openalex-snapshot
Elliptic Partial Differential Equations of Second Order
inferredcites →https://doi.org/10.1007/bf00250836openalex-snapshot
Regularity theory for almost minimal currents
inferredcites →https://doi.org/10.1007/bf01052971openalex-snapshot
Existence theorem for a minimum problem with free discontinuity set
inferredcites →https://doi.org/10.1007/bf01789609openalex-snapshot
Phase transitions of elastic solid materials
inferredcites →https://doi.org/10.1007/bf02163264openalex-snapshot
An optimal design problem with perimeter penalization
inferredcites →https://doi.org/10.1007/bf02392977openalex-snapshot
A variational method in image segmentation: Existence and approximation results
inferredcites →https://doi.org/10.1007/bf02429859openalex-snapshot
The stress driven instability in elastic crystals: Mathematical models and physical manifestations
inferredcites →https://doi.org/10.1016/c2013-0-11200-7openalex-snapshot
Geometric Measure Theory
inferredcites →https://doi.org/10.1088/0305-4470/19/16/019openalex-snapshot
Two transitions in tangentially anchored nematic droplets
inferredcites →https://doi.org/10.1090/pspum/044/840277openalex-snapshot
Tangential regularity near the 𝒞¹-boundary
inferredcites →https://doi.org/10.1512/iumj.1982.31.31035openalex-snapshot
inferredcites →https://doi.org/10.1515/9781400881628openalex-snapshot
Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
inferredcites →https://doi.org/10.1557/s0883769400057869openalex-snapshot
Polymer-Dispersed Liquid Crystals: Boojums at Work

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/bf01190895openalex-snapshot
A new proof of the SBV compactness theorem
inferred← citeshttps://doi.org/10.1007/s00033-018-0924-yopenalex-snapshot
A free boundary approach to the Rosensweig instability of ferrofluids
inferred← citeshttps://doi.org/10.1007/s00205-011-0451-xopenalex-snapshot
Equilibrium Configurations of Epitaxially Strained Elastic Films: Second Order Minimality Conditions and Qualitative Properties of Solutions
inferred← citeshttps://doi.org/10.1007/s00220-022-04565-wopenalex-snapshot
Regularity of Minimizers for a Model of Charged Droplets
inferred← citeshttps://doi.org/10.1007/s00526-006-0028-yopenalex-snapshot
Analytic regularity of a free boundary problem
inferred← citeshttps://doi.org/10.1007/s00526-016-1085-5openalex-snapshot
Regularity for free interface variational problems in a general class of gradients
inferred← citeshttps://doi.org/10.1007/s00526-018-1343-9openalex-snapshot
Regularity results for an optimal design problem with quasiconvex bulk energies
inferred← citeshttps://doi.org/10.1007/s00526-021-01927-5openalex-snapshot
Gradient estimates for divergence form parabolic systems from composite materials
inferred← citeshttps://doi.org/10.1007/s00526-023-02490-xopenalex-snapshot
Regularity results for a free interface problem with Hölder coefficients
inferred← citeshttps://doi.org/10.1007/s005260100139openalex-snapshot
Regularity of components in optimal design problems with perimeter penalization
inferred← citeshttps://doi.org/10.1007/s11587-018-0407-7openalex-snapshot
Density lower bound estimate for local minimizer of free interface problem with volume constraint
inferred← citeshttps://doi.org/10.1007/s40574-021-00285-6openalex-snapshot
A regularity result for minimal configurations of a free interface problem
inferred← citeshttps://doi.org/10.1016/j.na.2017.06.005openalex-snapshot
Locally optimal configurations for the two-phase torsion problem in the ball
inferred← citeshttps://doi.org/10.1016/s0021-7824(97)89943-6openalex-snapshot
SBV functions over a rectifiable current and a compactness theorem
inferred← citeshttps://doi.org/10.1016/s0764-4442(01)02033-xopenalex-snapshot
Regularity in two-dimensional variational problems with perimeter penalties
inferred← citeshttps://doi.org/10.1051/cocv/2013071openalex-snapshot
Regularity results for an optimal design problem with a volume constraint
inferred← citeshttps://doi.org/10.1051/cocv/2013071/pdfopenalex-snapshot
Regularity results for an optimal design problem with a volume constraint
inferred← citeshttps://doi.org/10.1081/pde-120037333openalex-snapshot
A New Type of Free Boundary Problem with Volume Constraint
inferred← citeshttps://doi.org/10.1098/rspa.2015.0808openalex-snapshot
On well-posedness of variational models of charged drops
inferred← citeshttps://doi.org/10.1515/acv-2021-0080openalex-snapshot
Regularity results for an optimal design problem with lower order terms
inferred← citeshttps://doi.org/10.1515/anona-2024-0021openalex-snapshot
Quasiconvex bulk and surface energies: C 1,α regularity
inferred← citeshttps://doi.org/10.3934/mine.2025011openalex-snapshot
Quasiconvex bulk and surface energies with subquadratic growth
inferred← citeshttps://doi.org/10.4171/aihpc/49openalex-snapshot
Minimality of the ball for a model of charged liquid droplets
inferred← citeshttps://doi.org/10.4171/ifb/336openalex-snapshot
On the regularity of critical and minimal sets of a free interface problem
inferred← citeshttps://doi.org/10.48550/arxiv.1904.10690openalex-snapshot
Analysis of two-phase shape optimization problems by means of shape derivatives
inferred← citeshttps://doi.org/10.68381/jca18025openalex-snapshot
A Remark on a Free Interface Problem with Volume Constraint
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